766838838667 has 8 divisors (see below), whose sum is σ = 849037303872. Its totient is φ = 686721347400.

The previous prime is 766838838659. The next prime is 766838838673.

766838838667 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 766838838667 - 2³ = 766838838659 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 766838838593 and 766838838602.

It is not an unprimeable number, because it can be changed into a prime (766838832667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520242709 + ... + 520244182.

It is an arithmetic number, because the mean of its divisors is an integer number (106129662984).

Almost surely, 2^766838838667 is an apocalyptic number.

766838838667 is a deficient number, since it is larger than the sum of its proper divisors (82198465205).

766838838667 is a wasteful number, since it uses less digits than its factorization.

766838838667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040486969.

The product of its digits is 2341011456, while the sum is 76.

The spelling of 766838838667 in words is "seven hundred sixty-six billion, eight hundred thirty-eight million, eight hundred thirty-eight thousand, six hundred sixty-seven".